NZQA registered unit standard
22738 version 3
Page 1 of 5
Title
Demonstrate and apply intermediate knowledge of electrotechnology
engineering mathematics
Level
5
Purpose
Credits
15
This unit standard covers general mathematical principles in an
engineering context.
People credited with this unit standard are able to:
–
demonstrate knowledge of and analyse graphs to solve
electrotechnology engineering problems;
–
manipulate and solve algebraic expressions and
equations in an electrotechnology engineering context;
–
manipulate and apply complex numbers in an
electrotechnology engineering context;
–
convert between different number systems to solve
electrotechnology engineering problems;
–
demonstrate knowledge of and use matrices to solve
electrotechnology engineering problems;
–
apply differentiation and integration techniques to
engineering problems; and
–
apply differential equations to solve electrotechnology
engineering problems.
Classification
Electrical Engineering > Electrotechnology
Available grade
Achieved
Entry information
Recommended skills
and knowledge
Unit 22734, Demonstrate and apply introductory knowledge of
electrotechnology engineering mathematics; or demonstrate
equivalent knowledge and skills.
Explanatory notes
1
This unit standard is intended for use in engineering courses at diploma level.
2
This unit standard is one of two that cover knowledge of electrotechnology
engineering mathematics, the other being Unit 22734, Demonstrate and apply
introductory knowledge of electrotechnology engineering mathematics.
3
Reference
Health and Safety in Employment Act 1992;
and all subsequent amendments and replacements.
The Skills Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
22738 version 3
Page 2 of 5
4
Definitions
Intermediate knowledge – means employing a broad knowledge base, with
substantial depth in some areas of the subject matter, to analyse and interpret a wide
range of information.
RMS – root mean square.
5
All measurements are to be expressed in Système International (SI) units, and,
where required, converted from Imperial units into SI units.
6
All activities must comply with: any policies, procedures, and requirements of the
organisations involved; the standards of relevant professional bodies; and any
relevant legislative and/or regulatory requirements.
7
Range
Performance in relation to the outcomes of this unit standard must comply with the
Health and Safety in Employment Act 1992.
Outcomes and evidence requirements
Outcome 1
Demonstrate knowledge of and analyse graphs to solve electrotechnology engineering
problems.
Evidence requirements
1.1
Knowledge of common electrical and electronic functions and relations is
demonstrated through graphs.
Range
1.2
indicial, logarithmic, exponential, trigonometric.
The analysis produces results that are consistent with expected outcomes.
Range
includes but is not limited to – trigonometric functions.
Outcome 2
Manipulate and solve algebraic expressions and equations in an electrotechnology
engineering context.
Evidence requirements
2.1
Application of the rules for simplifying, factorising, and solving algebraic
equations is demonstrated by example in an electrotechnology engineering
context.
The Skills Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
2.2
22738 version 3
Page 3 of 5
The solutions are determined by an appropriate method and are consistent with
the engineering problems.
Range
methods include but are not limited to – simplification,
factorisation.
Evidence of six equations and three methods is required.
Outcome 3
Manipulate and apply complex numbers in an electrotechnology engineering context.
Evidence requirements
3.1
Argand diagrams are drawn and salient features identified as applied in an
electrotechnology engineering context.
Range
3.2
Conversion between forms of complex numbers provides results consistent with
expected outcomes for two examples in accordance with industry practice.
Range
3.3
real axis, imaginary axis, complex plane, complex modulus and
complex argument.
rectangular (Cartesian) and polar.
De Moivre’s theorem is used to calculate powers and roots of complex numbers
in an electrotechnology engineering context.
Range
integral powers and roots.
Outcome 4
Convert between different number systems to solve electrotechnology engineering
problems.
Evidence requirements
4.1
Conversions between, and operations on, binary, hexadecimal, and decimal
numbers are performed in accordance with industry practice in an
electrotechnology industry context.
Range
up to 16 column binary and four column hexadecimal numbers.
Outcome 5
Demonstrate knowledge of and use matrices to solve electrotechnology engineering
problems.
The Skills Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
22738 version 3
Page 4 of 5
Evidence requirements
5.1
Demonstration of matrix manipulation gives results consistent with expected
outcomes.
Range
5.2
addition, subtraction and multiplication of two dimensional
matrices and vectors; simultaneous equations solved using
Gaussian elimination.
Knowledge of two dimensional graphic matrix transformation is demonstrated
through application and examples in an electrotechnology engineering context.
Range
transformations, scaling, shearing, rotation, reflection, translations
and combinations.
Outcome 6
Apply differentiation and integration techniques to engineering problems.
Evidence requirements
6.1
Differentiation is applied to engineering problems.
Range
6.2
polynomials, trigonometric, exponential, logarithmic functions;
product, quotient and chain rules; second derivatives, maximum
and minimum.
Integration is applied to engineering problems.
Range
polynomials, trigonometric, exponential and logarithmic functions;
integration numerically using Simpson’s rule; definite and
Indefinite integration; areas under curves; lengths, average and
RMS values of a function.
Outcome 7
Apply differential equations to solve electrotechnology engineering problems.
Evidence requirements
7.1
Differential equations are derived from a textual description.
Range
simple first and second order equations only.
7.2
Differential equations are solved in accordance with industry practice in an
electrotechnology engineering context.
7.3
Solutions are interpreted in terms of the original problem.
Range
The Skills Organisation
SSB Code 100401
homogeneous, linear first and second order, constant coefficients;
separation of variables.
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
Planned review date
22738 version 3
Page 5 of 5
31 December 2014
Status information and last date for assessment for superseded versions
Process
Version Date
Last Date for Assessment
Registration
1
18 December 2006
N/A
Rollover and
Revision
2
15 March 2012
N/A
Revision
3
15 January 2014
N/A
Consent and Moderation Requirements (CMR) reference
0003
This CMR can be accessed at http://www.nzqa.govt.nz/framework/search/index.do.
Please note
Providers must be granted consent to assess against standards (accredited) by NZQA,
before they can report credits from assessment against unit standards or deliver courses
of study leading to that assessment.
Industry Training Organisations must be granted consent to assess against standards by
NZQA before they can register credits from assessment against unit standards.
Providers and Industry Training Organisations, which have been granted consent and
which are assessing against unit standards must engage with the moderation system that
applies to those standards.
Requirements for consent to assess and an outline of the moderation system that applies
to this standard are outlined in the Consent and Moderation Requirements (CMR). The
CMR also includes useful information about special requirements for organisations wishing
to develop education and training programmes, such as minimum qualifications for tutors
and assessors, and special resource requirements.
Comments on this unit standard
Please contact The Skills Organisation reviewcomments@skills.org.nz if you wish to
suggest changes to the content of this unit standard.
The Skills Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016